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Finding the Third Proportional to 6,273.39 and 13,580.47

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Solution

The third proportional to 6,273.39 and 13,580.47 is: 29,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.39 : 13,580.47 = 13,580.47 : x
  2. Step 2: Convert to fraction form
    6,273.39/13,580.47 = 13,580.47/x
  3. Step 3: Cross multiply
    6,273.39x = 13,580.47 × 13,580.47
  4. Step 4: Simplify right side
    6,273.39x = 184,429,237.57
  5. Step 5: Solve for x
    x = 184,429,237.57/6,273.39
  6. Step 6: Final answer
    x = 29,398.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.